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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM259_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:39:55 AM UTC 2026

% Result   : Theorem 21.61s 3.76s
% Output   : Refutation 22.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  101 (  18 unt;   0 typ;  11 def)
%            Number of atoms       :  268 (  83 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  298 ( 131   ~; 138   |;  12   &)
%                                         (  11 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :   27 (  26 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  110 ( 108 usr;  12 prp; 0-5 aty)
%            Number of functors    :  508 ( 508 usr;  40 con; 0-4 aty)
%            Number of variables   :  299 (   0 sgn 263   !;  36   ?; 299   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    vEntry: $tType ).

tff(type_def_6,type,
    vYN: $tType ).

tff(type_def_7,type,
    vMapConf: $tType ).

tff(type_def_8,type,
    vOptAType: $tType ).

tff(type_def_9,type,
    vATMap: $tType ).

tff(type_def_10,type,
    vQuestionnaire: $tType ).

tff(type_def_11,type,
    vOptMapConf: $tType ).

tff(type_def_12,type,
    vQConf: $tType ).

tff(type_def_13,type,
    vstring: $tType ).

tff(type_def_14,type,
    vchar: $tType ).

tff(type_def_15,type,
    vAval: $tType ).

tff(type_def_16,type,
    vOptQConf: $tType ).

tff(type_def_17,type,
    vOptQuestion: $tType ).

tff(type_def_18,type,
    vAnsMap: $tType ).

tff(type_def_19,type,
    vExp: $tType ).

tff(type_def_20,type,
    vQMap: $tType ).

tff(type_def_21,type,
    vQID: $tType ).

tff(type_def_22,type,
    vLabel: $tType ).

tff(type_def_23,type,
    vOptAval: $tType ).

tff(type_def_24,type,
    vnat: $tType ).

tff(type_def_25,type,
    vOptExp: $tType ).

tff(type_def_26,type,
    vGID: $tType ).

tff(type_def_27,type,
    vATList: $tType ).

tff(type_def_28,type,
    vBinOpT: $tType ).

tff(type_def_29,type,
    vUnOpT: $tType ).

tff(type_def_30,type,
    vAType: $tType ).

tff(func_def_0,type,
    vconstant: vAval > vExp ).

tff(func_def_1,type,
    vqmempty: vQMap ).

tff(func_def_2,type,
    vquestion: ( vQID * vLabel * vAType ) > vEntry ).

tff(func_def_3,type,
    vsomeMapConf: vMapConf > vOptMapConf ).

tff(func_def_4,type,
    vsomeExp: vExp > vOptExp ).

tff(func_def_5,type,
    vsubop: vBinOpT ).

tff(func_def_6,type,
    vqcond: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_7,type,
    vandop: vBinOpT ).

tff(func_def_8,type,
    vnotop: vUnOpT ).

tff(func_def_9,type,
    vNum: vnat > vAval ).

tff(func_def_10,type,
    vnoAType: vOptAType ).

tff(func_def_11,type,
    vyes: vYN ).

tff(func_def_12,type,
    vT: vstring > vAval ).

tff(func_def_13,type,
    vNumber: vAType ).

tff(func_def_14,type,
    vdivop: vBinOpT ).

tff(func_def_15,type,
    vzero: vnat ).

tff(func_def_16,type,
    vsucc: vnat > vnat ).

tff(func_def_17,type,
    vabind: ( vQID * vAval * vAnsMap ) > vAnsMap ).

tff(func_def_18,type,
    vnoAval: vOptAval ).

tff(func_def_19,type,
    vYesNo: vAType ).

tff(func_def_20,type,
    vdefquestion: ( vQID * vLabel * vAType ) > vEntry ).

tff(func_def_21,type,
    vunop: ( vUnOpT * vExp ) > vExp ).

tff(func_def_22,type,
    vaempty: vAnsMap ).

tff(func_def_23,type,
    vatempty: vATList ).

tff(func_def_24,type,
    vscons: ( vchar * vstring ) > vstring ).

tff(func_def_25,type,
    vqseq: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_26,type,
    vmulop: vBinOpT ).

tff(func_def_27,type,
    vqempty: vQuestionnaire ).

tff(func_def_28,type,
    vsomeQConf: vQConf > vOptQConf ).

tff(func_def_29,type,
    vnoQConf: vOptQConf ).

tff(func_def_30,type,
    vnoExp: vOptExp ).

tff(func_def_31,type,
    vbinop: ( vExp * vBinOpT * vExp ) > vExp ).

tff(func_def_32,type,
    vB: vYN > vAval ).

tff(func_def_33,type,
    vQC: ( vAnsMap * vQMap * vQuestionnaire ) > vQConf ).

tff(func_def_34,type,
    vorop: vBinOpT ).

tff(func_def_35,type,
    veqop: vBinOpT ).

tff(func_def_36,type,
    vatcons: ( vAType * vATList ) > vATList ).

tff(func_def_37,type,
    vText: vAType ).

tff(func_def_38,type,
    vsomeAval: vAval > vOptAval ).

tff(func_def_39,type,
    vqsingle: vEntry > vQuestionnaire ).

tff(func_def_40,type,
    vMC: ( vATMap * vATMap ) > vMapConf ).

tff(func_def_41,type,
    vaddop: vBinOpT ).

tff(func_def_42,type,
    vsomeQuestion: ( vQID * vLabel * vAType ) > vOptQuestion ).

tff(func_def_43,type,
    vltop: vBinOpT ).

tff(func_def_44,type,
    vqvar: vQID > vExp ).

tff(func_def_45,type,
    vnoMapConf: vOptMapConf ).

tff(func_def_46,type,
    vatmbind: ( vQID * vAType * vATMap ) > vATMap ).

tff(func_def_47,type,
    vgtop: vBinOpT ).

tff(func_def_48,type,
    vsempty: vstring ).

tff(func_def_49,type,
    vqmbind: ( vQID * vLabel * vAType * vQMap ) > vQMap ).

tff(func_def_50,type,
    vask: vQID > vEntry ).

tff(func_def_51,type,
    vsomeAType: vAType > vOptAType ).

tff(func_def_52,type,
    vnoQuestion: vOptQuestion ).

tff(func_def_53,type,
    vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_54,type,
    vatmempty: vATMap ).

tff(func_def_55,type,
    vno: vYN ).

tff(func_def_56,type,
    vvalue: ( vQID * vAType * vExp ) > vEntry ).

tff(func_def_57,type,
    vgetAnswer: ( vLabel * vAType ) > vAval ).

tff(func_def_58,type,
    vecheck: ( vATMap * vExp ) > vOptAType ).

tff(func_def_59,type,
    vgetAM: vQConf > vAnsMap ).

tff(func_def_60,type,
    venumGID: vGID > vGID ).

tff(func_def_61,type,
    vaskText: vLabel > vstring ).

tff(func_def_62,type,
    vminus: ( vnat * vnat ) > vnat ).

tff(func_def_63,type,
    vtypeOf: vAval > vAType ).

tff(func_def_64,type,
    vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).

tff(func_def_65,type,
    vgetQM: vQConf > vQMap ).

tff(func_def_66,type,
    vinitQID: vQID ).

tff(func_def_67,type,
    vplus: ( vnat * vnat ) > vnat ).

tff(func_def_68,type,
    vaskYesNo: vLabel > vYN ).

tff(func_def_69,type,
    vtypeAM: vAnsMap > vATMap ).

tff(func_def_70,type,
    vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).

tff(func_def_71,type,
    vaskNumber: vLabel > vnat ).

tff(func_def_72,type,
    vinitLabel: vLabel ).

tff(func_def_73,type,
    vdivide: ( vnat * vnat ) > vnat ).

tff(func_def_74,type,
    vappendATMap: ( vATMap * vATMap ) > vATMap ).

tff(func_def_75,type,
    vor: ( vYN * vYN ) > vYN ).

tff(func_def_76,type,
    vpred: vnat > vnat ).

tff(func_def_77,type,
    vlookupATMap: ( vQID * vATMap ) > vOptAType ).

tff(func_def_78,type,
    vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).

tff(func_def_79,type,
    venumchar: vchar > vchar ).

tff(func_def_80,type,
    vinitchar: vchar ).

tff(func_def_81,type,
    vgetQuest: vQConf > vQuestionnaire ).

tff(func_def_82,type,
    vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).

tff(func_def_83,type,
    vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).

tff(func_def_84,type,
    vnot: vYN > vYN ).

tff(func_def_85,type,
    vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_86,type,
    vmultiply: ( vnat * vnat ) > vnat ).

tff(func_def_87,type,
    vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_88,type,
    vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).

tff(func_def_89,type,
    vtypeQM: vQMap > vATMap ).

tff(func_def_90,type,
    vintersectATM: ( vATMap * vATMap ) > vATMap ).

tff(func_def_91,type,
    venumLabel: vLabel > vLabel ).

tff(func_def_92,type,
    vinitGID: vGID ).

tff(func_def_93,type,
    vlt: ( vnat * vnat ) > vYN ).

tff(func_def_94,type,
    vgt: ( vnat * vnat ) > vYN ).

tff(func_def_95,type,
    vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).

tff(func_def_96,type,
    vreduceExp: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_97,type,
    venumQID: vQID > vQID ).

tff(func_def_98,type,
    vand: ( vYN * vYN ) > vYN ).

tff(func_def_99,type,
    vappend: ( vATList * vATList ) > vATList ).

tff(func_def_100,type,
    vgetQuestionQID: vOptQuestion > vQID ).

tff(func_def_101,type,
    vgetMapConf: vOptMapConf > vMapConf ).

tff(func_def_102,type,
    vgetQuestionLabel: vOptQuestion > vLabel ).

tff(func_def_103,type,
    vgetAType: vOptAType > vAType ).

tff(func_def_104,type,
    vgetQuestionAType: vOptQuestion > vAType ).

tff(func_def_105,type,
    vgetQC: vOptQConf > vQConf ).

tff(func_def_106,type,
    vgetExpValue: vExp > vAval ).

tff(func_def_107,type,
    vgetAval: vOptAval > vAval ).

tff(func_def_108,type,
    vgetExp: vOptExp > vExp ).

tff(func_def_109,type,
    sK59: vEntry > vQID ).

tff(func_def_110,type,
    sK60: vEntry > vLabel ).

tff(func_def_111,type,
    sK61: vEntry > vAType ).

tff(func_def_112,type,
    sK62: vEntry > vQID ).

tff(func_def_113,type,
    sK63: vEntry > vAType ).

tff(func_def_114,type,
    sK64: vEntry > vExp ).

tff(func_def_115,type,
    sK65: vEntry > vQID ).

tff(func_def_116,type,
    sK66: vEntry > vLabel ).

tff(func_def_117,type,
    sK67: vEntry > vAType ).

tff(func_def_118,type,
    sK68: vEntry > vQID ).

tff(func_def_119,type,
    sK69: vQMap > vQID ).

tff(func_def_120,type,
    sK70: vQMap > vLabel ).

tff(func_def_121,type,
    sK71: vQMap > vAType ).

tff(func_def_122,type,
    sK72: vQMap > vQMap ).

tff(func_def_123,type,
    sK73: vMapConf > vATMap ).

tff(func_def_124,type,
    sK74: vMapConf > vATMap ).

tff(func_def_125,type,
    sK75: vExp > vAval ).

tff(func_def_126,type,
    sK76: vExp > vQID ).

tff(func_def_127,type,
    sK77: vExp > vExp ).

tff(func_def_128,type,
    sK78: vExp > vBinOpT ).

tff(func_def_129,type,
    sK79: vExp > vExp ).

tff(func_def_130,type,
    sK80: vExp > vUnOpT ).

tff(func_def_131,type,
    sK81: vExp > vExp ).

tff(func_def_132,type,
    sK82: vnat > vnat ).

tff(func_def_133,type,
    sK83: vQuestionnaire > vEntry ).

tff(func_def_134,type,
    sK84: vQuestionnaire > vQuestionnaire ).

tff(func_def_135,type,
    sK85: vQuestionnaire > vQuestionnaire ).

tff(func_def_136,type,
    sK86: vQuestionnaire > vExp ).

tff(func_def_137,type,
    sK87: vQuestionnaire > vQuestionnaire ).

tff(func_def_138,type,
    sK88: vQuestionnaire > vQuestionnaire ).

tff(func_def_139,type,
    sK89: vQuestionnaire > vGID ).

tff(func_def_140,type,
    sK90: vQuestionnaire > vQuestionnaire ).

tff(func_def_141,type,
    sK91: vOptQConf > vQConf ).

tff(func_def_142,type,
    sK92: vOptAType > vAType ).

tff(func_def_143,type,
    sK93: vAval > vYN ).

tff(func_def_144,type,
    sK94: vAval > vnat ).

tff(func_def_145,type,
    sK95: vAval > vstring ).

tff(func_def_146,type,
    sK96: vOptExp > vExp ).

tff(func_def_147,type,
    sK97: vAnsMap > vQID ).

tff(func_def_148,type,
    sK98: vAnsMap > vAval ).

tff(func_def_149,type,
    sK99: vAnsMap > vAnsMap ).

tff(func_def_150,type,
    sK100: vATList > vAType ).

tff(func_def_151,type,
    sK101: vATList > vATList ).

tff(func_def_152,type,
    sK102: vOptQuestion > vQID ).

tff(func_def_153,type,
    sK103: vOptQuestion > vLabel ).

tff(func_def_154,type,
    sK104: vOptQuestion > vAType ).

tff(func_def_155,type,
    sK105: vATMap > vQID ).

tff(func_def_156,type,
    sK106: vATMap > vAType ).

tff(func_def_157,type,
    sK107: vATMap > vATMap ).

tff(func_def_158,type,
    sK108: vstring > vchar ).

tff(func_def_159,type,
    sK109: vstring > vstring ).

tff(func_def_160,type,
    sK110: vOptMapConf > vMapConf ).

tff(func_def_161,type,
    sK111: vQConf > vAnsMap ).

tff(func_def_162,type,
    sK112: vQConf > vQMap ).

tff(func_def_163,type,
    sK113: vQConf > vQuestionnaire ).

tff(func_def_164,type,
    sK114: vOptAval > vAval ).

tff(func_def_165,type,
    sK115: ( vYN * vYN ) > vYN ).

tff(func_def_166,type,
    sK116: ( vYN * vYN ) > vYN ).

tff(func_def_167,type,
    sK117: ( vYN * vYN ) > vYN ).

tff(func_def_168,type,
    sK118: ( vYN * vYN ) > vYN ).

tff(func_def_169,type,
    sK119: vnat > vnat ).

tff(func_def_170,type,
    sK120: ( vnat * vnat ) > vnat ).

tff(func_def_171,type,
    sK121: ( vnat * vnat ) > vnat ).

tff(func_def_172,type,
    sK122: ( vnat * vnat ) > vnat ).

tff(func_def_173,type,
    sK123: ( vnat * vnat ) > vnat ).

tff(func_def_174,type,
    sK124: ( vnat * vnat ) > vnat ).

tff(func_def_175,type,
    sK125: ( vnat * vnat ) > vnat ).

tff(func_def_176,type,
    sK126: ( vnat * vnat ) > vnat ).

tff(func_def_177,type,
    sK127: ( vnat * vnat ) > vnat ).

tff(func_def_178,type,
    sK128: ( vnat * vnat ) > vnat ).

tff(func_def_179,type,
    sK129: ( vnat * vnat ) > vnat ).

tff(func_def_180,type,
    sK130: ( vnat * vnat ) > vnat ).

tff(func_def_181,type,
    sK131: ( vnat * vnat ) > vnat ).

tff(func_def_182,type,
    sK132: ( vnat * vnat ) > vnat ).

tff(func_def_183,type,
    sK133: ( vnat * vnat ) > vnat ).

tff(func_def_184,type,
    sK134: ( vnat * vnat ) > vnat ).

tff(func_def_185,type,
    sK135: ( vnat * vnat ) > vnat ).

tff(func_def_186,type,
    sK136: ( vnat * vnat ) > vnat ).

tff(func_def_187,type,
    sK137: ( vnat * vnat ) > vnat ).

tff(func_def_188,type,
    sK138: ( vnat * vnat ) > vnat ).

tff(func_def_189,type,
    sK139: ( vnat * vnat ) > vnat ).

tff(func_def_190,type,
    sK140: ( vnat * vnat ) > vnat ).

tff(func_def_191,type,
    sK141: vOptAval > vAval ).

tff(func_def_192,type,
    sK142: vOptAType > vAType ).

tff(func_def_193,type,
    sK143: vAval > vYN ).

tff(func_def_194,type,
    sK144: vAval > vnat ).

tff(func_def_195,type,
    sK145: vAval > vstring ).

tff(func_def_196,type,
    sK146: ( vATList * vATList ) > vATList ).

tff(func_def_197,type,
    sK147: ( vATList * vATList ) > vAType ).

tff(func_def_198,type,
    sK148: ( vATList * vATList ) > vATList ).

tff(func_def_199,type,
    sK149: ( vATList * vATList ) > vATList ).

tff(func_def_200,type,
    sK150: ( vQID * vAnsMap ) > vQID ).

tff(func_def_201,type,
    sK151: ( vQID * vAnsMap ) > vAval ).

tff(func_def_202,type,
    sK152: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_203,type,
    sK153: ( vQID * vAnsMap ) > vQID ).

tff(func_def_204,type,
    sK154: ( vQID * vAnsMap ) > vQID ).

tff(func_def_205,type,
    sK155: ( vQID * vAnsMap ) > vQID ).

tff(func_def_206,type,
    sK156: ( vQID * vAnsMap ) > vAval ).

tff(func_def_207,type,
    sK157: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_208,type,
    sK158: ( vQID * vAnsMap ) > vQID ).

tff(func_def_209,type,
    sK159: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_210,type,
    sK160: ( vAnsMap * vAnsMap ) > vQID ).

tff(func_def_211,type,
    sK161: ( vAnsMap * vAnsMap ) > vAval ).

tff(func_def_212,type,
    sK162: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_213,type,
    sK163: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_214,type,
    sK164: vOptQuestion > vQID ).

tff(func_def_215,type,
    sK165: vOptQuestion > vLabel ).

tff(func_def_216,type,
    sK166: vOptQuestion > vAType ).

tff(func_def_217,type,
    sK167: ( vQID * vQMap ) > vQMap ).

tff(func_def_218,type,
    sK168: ( vQID * vQMap ) > vQID ).

tff(func_def_219,type,
    sK169: ( vQID * vQMap ) > vAType ).

tff(func_def_220,type,
    sK170: ( vQID * vQMap ) > vLabel ).

tff(func_def_221,type,
    sK171: ( vQID * vQMap ) > vQID ).

tff(func_def_222,type,
    sK172: ( vQID * vQMap ) > vQID ).

tff(func_def_223,type,
    sK173: ( vQID * vQMap ) > vQMap ).

tff(func_def_224,type,
    sK174: ( vQID * vQMap ) > vQID ).

tff(func_def_225,type,
    sK175: ( vQID * vQMap ) > vAType ).

tff(func_def_226,type,
    sK176: ( vQID * vQMap ) > vLabel ).

tff(func_def_227,type,
    sK177: ( vQID * vQMap ) > vQID ).

tff(func_def_228,type,
    sK178: vQConf > vAnsMap ).

tff(func_def_229,type,
    sK179: vQConf > vQMap ).

tff(func_def_230,type,
    sK180: vQConf > vQuestionnaire ).

tff(func_def_231,type,
    sK181: vQConf > vAnsMap ).

tff(func_def_232,type,
    sK182: vQConf > vQMap ).

tff(func_def_233,type,
    sK183: vQConf > vQuestionnaire ).

tff(func_def_234,type,
    sK184: vQConf > vAnsMap ).

tff(func_def_235,type,
    sK185: vQConf > vQMap ).

tff(func_def_236,type,
    sK186: vQConf > vQuestionnaire ).

tff(func_def_237,type,
    sK187: vQuestionnaire > vQuestionnaire ).

tff(func_def_238,type,
    sK188: vOptQConf > vQConf ).

tff(func_def_239,type,
    sK189: ( vQConf * vQuestionnaire ) > vAnsMap ).

tff(func_def_240,type,
    sK190: ( vQConf * vQuestionnaire ) > vQMap ).

tff(func_def_241,type,
    sK191: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_242,type,
    sK192: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_243,type,
    sK193: vOptExp > vExp ).

tff(func_def_244,type,
    sK194: vExp > vAval ).

tff(func_def_245,type,
    sK195: vExp > vAval ).

tff(func_def_246,type,
    sK196: vExp > vExp ).

tff(func_def_247,type,
    sK197: ( vLabel * vAType ) > vLabel ).

tff(func_def_248,type,
    sK198: ( vLabel * vAType ) > vLabel ).

tff(func_def_249,type,
    sK199: ( vLabel * vAType ) > vLabel ).

tff(func_def_250,type,
    sK200: vAval > vnat ).

tff(func_def_251,type,
    sK201: vAval > vnat ).

tff(func_def_252,type,
    sK202: vAval > vnat ).

tff(func_def_253,type,
    sK203: vAval > vnat ).

tff(func_def_254,type,
    sK204: vAval > vnat ).

tff(func_def_255,type,
    sK205: vAval > vnat ).

tff(func_def_256,type,
    sK206: vAval > vYN ).

tff(func_def_257,type,
    sK207: vAval > vYN ).

tff(func_def_258,type,
    sK208: vAval > vYN ).

tff(func_def_259,type,
    sK209: vAval > vYN ).

tff(func_def_260,type,
    sK210: vAval > vnat ).

tff(func_def_261,type,
    sK211: vAval > vnat ).

tff(func_def_262,type,
    sK212: vAval > vnat ).

tff(func_def_263,type,
    sK213: vAval > vnat ).

tff(func_def_264,type,
    sK214: vAval > vnat ).

tff(func_def_265,type,
    sK215: vAval > vnat ).

tff(func_def_266,type,
    sK216: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_267,type,
    sK217: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_268,type,
    sK218: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_269,type,
    sK219: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_270,type,
    sK220: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_271,type,
    sK221: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_272,type,
    sK222: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_273,type,
    sK223: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_274,type,
    sK224: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_275,type,
    sK225: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_276,type,
    sK226: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_277,type,
    sK227: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_278,type,
    sK228: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_279,type,
    sK229: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_280,type,
    sK230: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_281,type,
    sK231: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_282,type,
    sK232: ( vBinOpT * vAval * vAval ) > vBinOpT ).

tff(func_def_283,type,
    sK233: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_284,type,
    sK234: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_285,type,
    sK235: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_286,type,
    sK236: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_287,type,
    sK237: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_288,type,
    sK238: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_289,type,
    sK239: vAval > vYN ).

tff(func_def_290,type,
    sK240: ( vUnOpT * vAval ) > vYN ).

tff(func_def_291,type,
    sK241: ( vUnOpT * vAval ) > vUnOpT ).

tff(func_def_292,type,
    sK242: ( vUnOpT * vAval ) > vAval ).

tff(func_def_293,type,
    sK243: ( vExp * vAnsMap ) > vQID ).

tff(func_def_294,type,
    sK244: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_295,type,
    sK245: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_296,type,
    sK246: ( vExp * vAnsMap ) > vQID ).

tff(func_def_297,type,
    sK247: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_298,type,
    sK248: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_299,type,
    sK249: ( vExp * vAnsMap ) > vExp ).

tff(func_def_300,type,
    sK250: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_301,type,
    sK251: ( vExp * vAnsMap ) > vExp ).

tff(func_def_302,type,
    sK252: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_303,type,
    sK253: ( vExp * vAnsMap ) > vExp ).

tff(func_def_304,type,
    sK254: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_305,type,
    sK255: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_306,type,
    sK256: ( vExp * vAnsMap ) > vExp ).

tff(func_def_307,type,
    sK257: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_308,type,
    sK258: ( vExp * vAnsMap ) > vExp ).

tff(func_def_309,type,
    sK259: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_310,type,
    sK260: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_311,type,
    sK261: ( vExp * vAnsMap ) > vExp ).

tff(func_def_312,type,
    sK262: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_313,type,
    sK263: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_314,type,
    sK264: ( vExp * vAnsMap ) > vExp ).

tff(func_def_315,type,
    sK265: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_316,type,
    sK266: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_317,type,
    sK267: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_318,type,
    sK268: ( vExp * vAnsMap ) > vExp ).

tff(func_def_319,type,
    sK269: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_320,type,
    sK270: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_321,type,
    sK271: ( vExp * vAnsMap ) > vExp ).

tff(func_def_322,type,
    sK272: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_323,type,
    sK273: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_324,type,
    sK274: ( vExp * vAnsMap ) > vExp ).

tff(func_def_325,type,
    sK275: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_326,type,
    sK276: ( vExp * vAnsMap ) > vExp ).

tff(func_def_327,type,
    sK277: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_328,type,
    sK278: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_329,type,
    sK279: ( vExp * vAnsMap ) > vExp ).

tff(func_def_330,type,
    sK280: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_331,type,
    sK281: ( vExp * vAnsMap ) > vAval ).

tff(func_def_332,type,
    sK282: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_333,type,
    sK283: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_334,type,
    sK284: ( vExp * vAnsMap ) > vExp ).

tff(func_def_335,type,
    sK285: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_336,type,
    sK286: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_337,type,
    sK287: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_338,type,
    sK288: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_339,type,
    sK289: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_340,type,
    sK290: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_341,type,
    sK291: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_342,type,
    sK292: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_343,type,
    sK293: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_344,type,
    sK294: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_345,type,
    sK295: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_346,type,
    sK296: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_347,type,
    sK297: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_348,type,
    sK298: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_349,type,
    sK299: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_350,type,
    sK300: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_351,type,
    sK301: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_352,type,
    sK302: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_353,type,
    sK303: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_354,type,
    sK304: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_355,type,
    sK305: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_356,type,
    sK306: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_357,type,
    sK307: ( vQuestionnaire * vAnsMap * vQMap ) > vGID ).

tff(func_def_358,type,
    sK308: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_359,type,
    sK309: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_360,type,
    sK310: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_361,type,
    sK311: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_362,type,
    sK312: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_363,type,
    sK313: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_364,type,
    sK314: ( vQuestionnaire * vAnsMap * vQMap ) > vAval ).

tff(func_def_365,type,
    sK315: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_366,type,
    sK316: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_367,type,
    sK317: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_368,type,
    sK318: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_369,type,
    sK319: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_370,type,
    sK320: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_371,type,
    sK321: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_372,type,
    sK322: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_373,type,
    sK323: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_374,type,
    sK324: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_375,type,
    sK325: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_376,type,
    sK326: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_377,type,
    sK327: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_378,type,
    sK328: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_379,type,
    sK329: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_380,type,
    sK330: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_381,type,
    sK331: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_382,type,
    sK332: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_383,type,
    sK333: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_384,type,
    sK334: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_385,type,
    sK335: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_386,type,
    sK336: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_387,type,
    sK337: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_388,type,
    sK338: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_389,type,
    sK339: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_390,type,
    sK340: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_391,type,
    sK341: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_392,type,
    sK342: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_393,type,
    sK343: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_394,type,
    sK344: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_395,type,
    sK345: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_396,type,
    sK346: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_397,type,
    sK347: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_398,type,
    sK348: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_399,type,
    sK349: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_400,type,
    sK350: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_401,type,
    sK351: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_402,type,
    sK352: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_403,type,
    sK353: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_404,type,
    sK354: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_405,type,
    sK355: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_406,type,
    sK356: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_407,type,
    sK357: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_408,type,
    sK358: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_409,type,
    sK359: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_410,type,
    sK360: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_411,type,
    sK361: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_412,type,
    sK362: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_413,type,
    sK363: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_414,type,
    sK364: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_415,type,
    sK365: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_416,type,
    sK366: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_417,type,
    sK367: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_418,type,
    sK368: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_419,type,
    sK369: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_420,type,
    sK370: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_421,type,
    sK371: ( vQID * vATMap ) > vQID ).

tff(func_def_422,type,
    sK372: ( vQID * vATMap ) > vAType ).

tff(func_def_423,type,
    sK373: ( vQID * vATMap ) > vATMap ).

tff(func_def_424,type,
    sK374: ( vQID * vATMap ) > vQID ).

tff(func_def_425,type,
    sK375: ( vQID * vATMap ) > vQID ).

tff(func_def_426,type,
    sK376: ( vQID * vATMap ) > vQID ).

tff(func_def_427,type,
    sK377: ( vQID * vATMap ) > vAType ).

tff(func_def_428,type,
    sK378: ( vQID * vATMap ) > vATMap ).

tff(func_def_429,type,
    sK379: ( vQID * vATMap ) > vQID ).

tff(func_def_430,type,
    sK380: ( vATMap * vATMap ) > vATMap ).

tff(func_def_431,type,
    sK381: ( vATMap * vATMap ) > vQID ).

tff(func_def_432,type,
    sK382: ( vATMap * vATMap ) > vAType ).

tff(func_def_433,type,
    sK383: ( vATMap * vATMap ) > vATMap ).

tff(func_def_434,type,
    sK384: ( vATMap * vATMap ) > vATMap ).

tff(func_def_435,type,
    sK385: ( vATMap * vATMap ) > vATMap ).

tff(func_def_436,type,
    sK386: ( vATMap * vATMap ) > vATMap ).

tff(func_def_437,type,
    sK387: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_438,type,
    sK388: ( vATMap * vATMap ) > vAType ).

tff(func_def_439,type,
    sK389: ( vATMap * vATMap ) > vATMap ).

tff(func_def_440,type,
    sK390: ( vATMap * vATMap ) > vQID ).

tff(func_def_441,type,
    sK391: ( vATMap * vATMap ) > vATMap ).

tff(func_def_442,type,
    sK392: ( vATMap * vATMap ) > vATMap ).

tff(func_def_443,type,
    sK393: ( vATMap * vATMap ) > vATMap ).

tff(func_def_444,type,
    sK394: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_445,type,
    sK395: ( vATMap * vATMap ) > vAType ).

tff(func_def_446,type,
    sK396: ( vATMap * vATMap ) > vATMap ).

tff(func_def_447,type,
    sK397: ( vATMap * vATMap ) > vQID ).

tff(func_def_448,type,
    sK398: vOptMapConf > vMapConf ).

tff(func_def_449,type,
    sK399: vAnsMap > vQID ).

tff(func_def_450,type,
    sK400: vAnsMap > vAval ).

tff(func_def_451,type,
    sK401: vAnsMap > vAnsMap ).

tff(func_def_452,type,
    sK402: vQMap > vQID ).

tff(func_def_453,type,
    sK403: vQMap > vLabel ).

tff(func_def_454,type,
    sK404: vQMap > vAType ).

tff(func_def_455,type,
    sK405: vQMap > vQMap ).

tff(func_def_456,type,
    sK406: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_457,type,
    sK407: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_458,type,
    sK408: ( vBinOpT * vAType * vAType ) > vBinOpT ).

tff(func_def_459,type,
    sK409: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_460,type,
    sK410: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_461,type,
    sK411: ( vUnOpT * vAType ) > vUnOpT ).

tff(func_def_462,type,
    sK412: ( vUnOpT * vAType ) > vAType ).

tff(func_def_463,type,
    sK413: ( vATMap * vExp ) > vQID ).

tff(func_def_464,type,
    sK414: ( vATMap * vExp ) > vATMap ).

tff(func_def_465,type,
    sK415: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_466,type,
    sK416: ( vATMap * vExp ) > vExp ).

tff(func_def_467,type,
    sK417: ( vATMap * vExp ) > vOptAType ).

tff(func_def_468,type,
    sK418: ( vATMap * vExp ) > vATMap ).

tff(func_def_469,type,
    sK419: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_470,type,
    sK420: ( vATMap * vExp ) > vExp ).

tff(func_def_471,type,
    sK421: ( vATMap * vExp ) > vOptAType ).

tff(func_def_472,type,
    sK422: ( vATMap * vExp ) > vATMap ).

tff(func_def_473,type,
    sK423: ( vATMap * vExp ) > vATMap ).

tff(func_def_474,type,
    sK424: ( vATMap * vExp ) > vOptAType ).

tff(func_def_475,type,
    sK425: ( vATMap * vExp ) > vExp ).

tff(func_def_476,type,
    sK426: ( vATMap * vExp ) > vOptAType ).

tff(func_def_477,type,
    sK427: ( vATMap * vExp ) > vExp ).

tff(func_def_478,type,
    sK428: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_479,type,
    sK429: ( vATMap * vExp ) > vATMap ).

tff(func_def_480,type,
    sK430: ( vATMap * vExp ) > vOptAType ).

tff(func_def_481,type,
    sK431: ( vATMap * vExp ) > vExp ).

tff(func_def_482,type,
    sK432: ( vATMap * vExp ) > vOptAType ).

tff(func_def_483,type,
    sK433: ( vATMap * vExp ) > vExp ).

tff(func_def_484,type,
    sK434: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_485,type,
    sK435: ( vATMap * vExp ) > vATMap ).

tff(func_def_486,type,
    sK436: ( vATMap * vExp ) > vYN ).

tff(func_def_487,type,
    sK437: ( vATMap * vExp ) > vnat ).

tff(func_def_488,type,
    sK438: ( vATMap * vExp ) > vATMap ).

tff(func_def_489,type,
    sK439: ( vATMap * vExp ) > vstring ).

tff(func_def_490,type,
    sK440: ( vATMap * vExp ) > vATMap ).

tff(func_def_491,type,
    sK441: ( vATMap * vQID ) > vAType ).

tff(func_def_492,type,
    sK442: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_493,type,
    sK443: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_494,type,
    sK444: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_495,type,
    sK445: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_496,type,
    sK446: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_497,type,
    sK447: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_498,type,
    sK448: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_499,type,
    sK449: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_500,type,
    sK450: vATMap ).

tff(func_def_501,type,
    sK451: vQuestionnaire ).

tff(func_def_502,type,
    sK452: vQMap ).

tff(func_def_503,type,
    sK453: vEntry ).

tff(func_def_504,type,
    sK454: vAnsMap ).

tff(func_def_505,type,
    sK455: vATMap ).

tff(func_def_506,type,
    sK456: vAnsMap ).

tff(func_def_507,type,
    sK457: vQMap ).

tff(pred_def_1,type,
    vexpIsValue: vExp > $o ).

tff(pred_def_2,type,
    visValue: vQuestionnaire > $o ).

tff(pred_def_3,type,
    visSomeAType: vOptAType > $o ).

tff(pred_def_4,type,
    visSomeQC: vOptQConf > $o ).

tff(pred_def_5,type,
    visSomeAval: vOptAval > $o ).

tff(pred_def_6,type,
    visSomeExp: vOptExp > $o ).

tff(pred_def_7,type,
    visSomeMapConf: vOptMapConf > $o ).

tff(pred_def_8,type,
    visSomeQuestion: vOptQuestion > $o ).

tff(pred_def_9,type,
    vptcheck: ( vMapConf * vQuestionnaire * vMapConf ) > $o ).

tff(pred_def_10,type,
    sP0: ( vQID * vAnsMap ) > $o ).

tff(pred_def_11,type,
    sP1: ( vQID * vQMap ) > $o ).

tff(pred_def_12,type,
    sP2: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_13,type,
    sP3: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_14,type,
    sP4: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_15,type,
    sP5: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_16,type,
    sP6: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_17,type,
    sP7: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_18,type,
    sP8: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_19,type,
    sP9: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_20,type,
    sP10: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_21,type,
    sP11: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_22,type,
    sP12: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_23,type,
    sP13: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_24,type,
    sP14: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_25,type,
    sP15: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_26,type,
    sP16: ( vExp * vAnsMap ) > $o ).

tff(pred_def_27,type,
    sP17: ( vExp * vAnsMap ) > $o ).

tff(pred_def_28,type,
    sP18: ( vExp * vAnsMap ) > $o ).

tff(pred_def_29,type,
    sP19: ( vExp * vAnsMap ) > $o ).

tff(pred_def_30,type,
    sP20: ( vExp * vAnsMap ) > $o ).

tff(pred_def_31,type,
    sP21: ( vExp * vAnsMap ) > $o ).

tff(pred_def_32,type,
    sP22: ( vExp * vAnsMap ) > $o ).

tff(pred_def_33,type,
    sP23: ( vExp * vAnsMap ) > $o ).

tff(pred_def_34,type,
    sP24: ( vExp * vAnsMap ) > $o ).

tff(pred_def_35,type,
    sP25: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_36,type,
    sP26: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_37,type,
    sP27: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_38,type,
    sP28: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_39,type,
    sP29: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_40,type,
    sP30: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_41,type,
    sP31: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_42,type,
    sP32: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_43,type,
    sP33: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_44,type,
    sP34: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_45,type,
    sP35: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_46,type,
    sP36: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_47,type,
    sP37: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_48,type,
    sP38: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_49,type,
    sP39: ( vQID * vATMap ) > $o ).

tff(pred_def_50,type,
    sP40: ( vATMap * vATMap ) > $o ).

tff(pred_def_51,type,
    sP41: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_52,type,
    sP42: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_53,type,
    sP43: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_54,type,
    sP44: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_55,type,
    sP45: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_56,type,
    sP46: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_57,type,
    sP47: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_58,type,
    sP48: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_59,type,
    sP49: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_60,type,
    sP50: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_61,type,
    sP51: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_62,type,
    sP52: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_63,type,
    sP53: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_64,type,
    sP54: ( vATMap * vExp ) > $o ).

tff(pred_def_65,type,
    sP55: ( vATMap * vExp ) > $o ).

tff(pred_def_66,type,
    sP56: ( vATMap * vExp ) > $o ).

tff(pred_def_67,type,
    sP57: ( vATMap * vExp ) > $o ).

tff(pred_def_68,type,
    sP58: ( vATMap * vExp ) > $o ).

tff(pred_def_69,type,
    sP458: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_70,type,
    sP459: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_71,type,
    sP460: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_72,type,
    sP461: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_73,type,
    sP462: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_74,type,
    sP463: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_75,type,
    sP464: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_76,type,
    sP465: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_77,type,
    sP466: ( vATMap * vATMap * vQID * vATMap ) > $o ).

tff(pred_def_78,type,
    sP467: ( vQuestionnaire * vATMap * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_79,type,
    sP468: ( vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_80,type,
    sP469: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_81,type,
    sP470: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_82,type,
    sP471: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_83,type,
    sP472: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_84,type,
    sP473: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_85,type,
    sP474: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_86,type,
    sP475: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_87,type,
    sP476: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_88,type,
    sP477: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_89,type,
    sP478: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_90,type,
    sP479: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_91,type,
    sP480: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_92,type,
    sP481: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_93,type,
    sP482: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_94,type,
    sP483: ( vATMap * vATMap * vQuestionnaire * vQuestionnaire * vATMap ) > $o ).

tff(pred_def_95,type,
    sP484: ( vATMap * vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_96,type,
    sP485: ( vATMap * vATMap * vATMap * vQuestionnaire * vQuestionnaire ) > $o ).

tff(pred_def_97,type,
    sP486: ( vATMap * vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(f1,axiom,
    ! [X0: vEntry] :
      ( ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vquestion(X1,X2,X3) )
      | ? [X1: vQID,X3: vAType,X4: vExp] : ( X0 = vvalue(X1,X3,X4) )
      | ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vdefquestion(X1,X2,X3) )
      | ? [X1: vQID] : ( X0 = vask(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Entry') ).

tff(f360,axiom,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( ( vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vquestion(X9,X5,X3)),vMC(X6,X0))
        & ( vreduce(vqsingle(vquestion(X9,X5,X3)),X7,X2) = vsomeQConf(vQC(X4,X8,X1)) ) )
     => vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qsingle-question') ).

tff(f361,axiom,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap,X8: vQID,X9: vExp] :
      ( ( vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(vvalue(X8,X3,X9)),vMC(X5,X0))
        & ( vreduce(vqsingle(vvalue(X8,X3,X9)),X6,X2) = vsomeQConf(vQC(X4,X7,X1)) ) )
     => vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qsingle-value') ).

tff(f362,axiom,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( ( vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vdefquestion(X9,X5,X3)),vMC(X6,X0))
        & ( vreduce(vqsingle(vdefquestion(X9,X5,X3)),X7,X2) = vsomeQConf(vQC(X4,X8,X1)) ) )
     => vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qsingle-defquestion') ).

tff(f363,axiom,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap,X7: vQID] :
      ( ( vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqsingle(vask(X7)),vMC(X4,X0))
        & ( vreduce(vqsingle(vask(X7)),X5,X2) = vsomeQConf(vQC(X3,X6,X1)) ) )
     => vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qsingle-ask') ).

tff(f364,conjecture,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vEntry,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap] :
      ( ( vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(X3),vMC(X5,X0))
        & ( vreduce(vqsingle(X3),X6,X2) = vsomeQConf(vQC(X4,X7,X1)) ) )
     => vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qsingle') ).

tff(f365,negated_conjecture,
    ~ ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vEntry,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap] :
        ( ( vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(X3),vMC(X5,X0))
          & ( vreduce(vqsingle(X3),X6,X2) = vsomeQConf(vQC(X4,X7,X1)) ) )
       => vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0)) ),
    inference(negated_conjecture,[status(cth)],[f364]) ).

tff(f366,plain,
    ! [X0: vEntry] :
      ( ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vquestion(X1,X2,X3) )
      | ? [X4: vQID,X5: vAType,X6: vExp] : ( vvalue(X4,X5,X6) = X0 )
      | ? [X7: vQID,X8: vLabel,X9: vAType] : ( vdefquestion(X7,X8,X9) = X0 )
      | ? [X10: vQID] : ( vask(X10) = X0 ) ),
    inference(rectify,[],[f1]) ).

tff(f524,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vreduce(vqsingle(vquestion(X9,X5,X3)),X7,X2) != vsomeQConf(vQC(X4,X8,X1)) ) ),
    inference(ennf_transformation,[],[f360]) ).

tff(f525,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vreduce(vqsingle(vquestion(X9,X5,X3)),X7,X2) != vsomeQConf(vQC(X4,X8,X1)) ) ),
    inference(flattening,[],[f524]) ).

tff(f526,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap,X8: vQID,X9: vExp] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0))
      | ~ vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(vvalue(X8,X3,X9)),vMC(X5,X0))
      | ( vreduce(vqsingle(vvalue(X8,X3,X9)),X6,X2) != vsomeQConf(vQC(X4,X7,X1)) ) ),
    inference(ennf_transformation,[],[f361]) ).

tff(f527,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap,X8: vQID,X9: vExp] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0))
      | ~ vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(vvalue(X8,X3,X9)),vMC(X5,X0))
      | ( vreduce(vqsingle(vvalue(X8,X3,X9)),X6,X2) != vsomeQConf(vQC(X4,X7,X1)) ) ),
    inference(flattening,[],[f526]) ).

tff(f528,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vdefquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vsomeQConf(vQC(X4,X8,X1)) != vreduce(vqsingle(vdefquestion(X9,X5,X3)),X7,X2) ) ),
    inference(ennf_transformation,[],[f362]) ).

tff(f529,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAType,X4: vAnsMap,X5: vLabel,X6: vATMap,X7: vAnsMap,X8: vQMap,X9: vQID] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vdefquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vsomeQConf(vQC(X4,X8,X1)) != vreduce(vqsingle(vdefquestion(X9,X5,X3)),X7,X2) ) ),
    inference(flattening,[],[f528]) ).

tff(f530,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap,X7: vQID] :
      ( vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0))
      | ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqsingle(vask(X7)),vMC(X4,X0))
      | ( vreduce(vqsingle(vask(X7)),X5,X2) != vsomeQConf(vQC(X3,X6,X1)) ) ),
    inference(ennf_transformation,[],[f363]) ).

tff(f531,plain,
    ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap,X7: vQID] :
      ( vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0))
      | ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqsingle(vask(X7)),vMC(X4,X0))
      | ( vreduce(vqsingle(vask(X7)),X5,X2) != vsomeQConf(vQC(X3,X6,X1)) ) ),
    inference(flattening,[],[f530]) ).

tff(f532,plain,
    ? [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vEntry,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap] :
      ( ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0))
      & vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(X3),vMC(X5,X0))
      & ( vreduce(vqsingle(X3),X6,X2) = vsomeQConf(vQC(X4,X7,X1)) ) ),
    inference(ennf_transformation,[],[f365]) ).

tff(f533,plain,
    ? [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vEntry,X4: vAnsMap,X5: vATMap,X6: vAnsMap,X7: vQMap] :
      ( ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0))
      & vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(X3),vMC(X5,X0))
      & ( vreduce(vqsingle(X3),X6,X2) = vsomeQConf(vQC(X4,X7,X1)) ) ),
    inference(flattening,[],[f532]) ).

tff(f604,plain,
    ! [X0: vEntry] :
      ( ( vquestion(sK59(X0),sK60(X0),sK61(X0)) = X0 )
      | ( vvalue(sK62(X0),sK63(X0),sK64(X0)) = X0 )
      | ( vdefquestion(sK65(X0),sK66(X0),sK67(X0)) = X0 )
      | ( vask(sK68(X0)) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68]),skolemize(X1,sK59(X0)),skolemize(X2,sK60(X0)),skolemize(X3,sK61(X0)),skolemize(X4,sK62(X0)),skolemize(X5,sK63(X0)),skolemize(X6,sK64(X0)),skolemize(X7,sK65(X0)),skolemize(X8,sK66(X0)),skolemize(X9,sK67(X0)),skolemize(X10,sK68(X0))],[f366]) ).

tff(f830,plain,
    ( ~ vptcheck(vMC(vtypeAM(sK454),vtypeQM(sK457)),sK451,vMC(sK455,sK450))
    & vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450))
    & ( vsomeQConf(vQC(sK454,sK457,sK451)) = vreduce(vqsingle(sK453),sK456,sK452) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK450,sK451,sK452,sK453,sK454,sK455,sK456,sK457]),skolemize(X0,sK450),skolemize(X1,sK451),skolemize(X2,sK452),skolemize(X3,sK453),skolemize(X4,sK454),skolemize(X5,sK455),skolemize(X6,sK456),skolemize(X7,sK457)],[f533]) ).

tff(f831,plain,
    ! [X0: vEntry] :
      ( ( vquestion(sK59(X0),sK60(X0),sK61(X0)) = X0 )
      | ( vvalue(sK62(X0),sK63(X0),sK64(X0)) = X0 )
      | ( vdefquestion(sK65(X0),sK66(X0),sK67(X0)) = X0 )
      | ( vask(sK68(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f604]) ).

tff(f1934,plain,
    ! [X2: vQMap,X3: vAType,X0: vATMap,X1: vQuestionnaire,X8: vQMap,X6: vATMap,X9: vQID,X7: vAnsMap,X4: vAnsMap,X5: vLabel] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vreduce(vqsingle(vquestion(X9,X5,X3)),X7,X2) != vsomeQConf(vQC(X4,X8,X1)) ) ),
    inference(cnf_transformation,[],[f525]) ).

tff(f1935,plain,
    ! [X2: vQMap,X3: vAType,X0: vATMap,X1: vQuestionnaire,X8: vQID,X6: vAnsMap,X9: vExp,X7: vQMap,X4: vAnsMap,X5: vATMap] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X7)),X1,vMC(X5,X0))
      | ~ vptcheck(vMC(vtypeAM(X6),vtypeQM(X2)),vqsingle(vvalue(X8,X3,X9)),vMC(X5,X0))
      | ( vreduce(vqsingle(vvalue(X8,X3,X9)),X6,X2) != vsomeQConf(vQC(X4,X7,X1)) ) ),
    inference(cnf_transformation,[],[f527]) ).

tff(f1936,plain,
    ! [X2: vQMap,X3: vAType,X0: vATMap,X1: vQuestionnaire,X8: vQMap,X6: vATMap,X9: vQID,X7: vAnsMap,X4: vAnsMap,X5: vLabel] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X8)),X1,vMC(X6,X0))
      | ~ vptcheck(vMC(vtypeAM(X7),vtypeQM(X2)),vqsingle(vdefquestion(X9,X5,X3)),vMC(X6,X0))
      | ( vsomeQConf(vQC(X4,X8,X1)) != vreduce(vqsingle(vdefquestion(X9,X5,X3)),X7,X2) ) ),
    inference(cnf_transformation,[],[f529]) ).

tff(f1937,plain,
    ! [X2: vQMap,X3: vAnsMap,X0: vATMap,X1: vQuestionnaire,X6: vQMap,X7: vQID,X4: vATMap,X5: vAnsMap] :
      ( vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0))
      | ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqsingle(vask(X7)),vMC(X4,X0))
      | ( vreduce(vqsingle(vask(X7)),X5,X2) != vsomeQConf(vQC(X3,X6,X1)) ) ),
    inference(cnf_transformation,[],[f531]) ).

tff(f1938,plain,
    vsomeQConf(vQC(sK454,sK457,sK451)) = vreduce(vqsingle(sK453),sK456,sK452),
    inference(cnf_transformation,[],[f830]) ).

tff(f1939,plain,
    vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450)),
    inference(cnf_transformation,[],[f830]) ).

tff(f1940,plain,
    ~ vptcheck(vMC(vtypeAM(sK454),vtypeQM(sK457)),sK451,vMC(sK455,sK450)),
    inference(cnf_transformation,[],[f830]) ).

tff(f2063,definition,
    ( spl487_1
  <=> vptcheck(vMC(vtypeAM(sK454),vtypeQM(sK457)),sK451,vMC(sK455,sK450)) ),
    introduced(definition,[new_symbols(definition,[spl487_1])],[avatar_definition]) ).

tff(f2065,plain,
    ( ~ vptcheck(vMC(vtypeAM(sK454),vtypeQM(sK457)),sK451,vMC(sK455,sK450))
    | spl487_1 ),
    inference(avatar_component_clause,[],[f2063]) ).

tff(f2066,plain,
    ~ spl487_1,
    inference(avatar_split_clause,[],[f1940,f2063]) ).

tff(f2067,plain,
    ( ! [X2: vQID,X0: vAnsMap,X1: vQMap] :
        ( ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vask(X2)),vMC(sK455,sK450))
        | ( vsomeQConf(vQC(sK454,sK457,sK451)) != vreduce(vqsingle(vask(X2)),X0,X1) ) )
    | spl487_1 ),
    inference(resolution,[],[f2065,f1937]) ).

tff(f2068,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vdefquestion(X2,X3,X4)),vMC(sK455,sK450))
        | ( vsomeQConf(vQC(sK454,sK457,sK451)) != vreduce(vqsingle(vdefquestion(X2,X3,X4)),X0,X1) ) )
    | spl487_1 ),
    inference(resolution,[],[f2065,f1936]) ).

tff(f2069,plain,
    ( ! [X2: vQID,X3: vAType,X0: vAnsMap,X1: vQMap,X4: vExp] :
        ( ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vvalue(X2,X3,X4)),vMC(sK455,sK450))
        | ( vsomeQConf(vQC(sK454,sK457,sK451)) != vreduce(vqsingle(vvalue(X2,X3,X4)),X0,X1) ) )
    | spl487_1 ),
    inference(resolution,[],[f2065,f1935]) ).

tff(f2070,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vquestion(X2,X3,X4)),vMC(sK455,sK450))
        | ( vsomeQConf(vQC(sK454,sK457,sK451)) != vreduce(vqsingle(vquestion(X2,X3,X4)),X0,X1) ) )
    | spl487_1 ),
    inference(resolution,[],[f2065,f1934]) ).

tff(f2077,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vquestion(X2,X3,X4)),vMC(sK455,sK450)) )
    | spl487_1 ),
    inference(forward_demodulation,[],[f2070,f1938]) ).

tff(f2078,plain,
    ( ! [X2: vQID,X3: vAType,X0: vAnsMap,X1: vQMap,X4: vExp] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vvalue(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vvalue(X2,X3,X4)),vMC(sK455,sK450)) )
    | spl487_1 ),
    inference(forward_demodulation,[],[f2069,f1938]) ).

tff(f2079,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vdefquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vdefquestion(X2,X3,X4)),vMC(sK455,sK450)) )
    | spl487_1 ),
    inference(forward_demodulation,[],[f2068,f1938]) ).

tff(f2080,plain,
    ( ! [X2: vQID,X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vask(X2)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vask(X2)),vMC(sK455,sK450)) )
    | spl487_1 ),
    inference(forward_demodulation,[],[f2067,f1938]) ).

tff(f2082,definition,
    ( spl487_2
  <=> vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450)) ),
    introduced(definition,[new_symbols(definition,[spl487_2])],[avatar_definition]) ).

tff(f2084,plain,
    ( vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450))
    | ~ spl487_2 ),
    inference(avatar_component_clause,[],[f2082]) ).

tff(f2085,plain,
    spl487_2,
    inference(avatar_split_clause,[],[f1939,f2082]) ).

tff(f2120,definition,
    ( spl487_4
  <=> ! [X2: vQID,X4: vExp,X0: vAnsMap,X3: vAType,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vvalue(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vvalue(X2,X3,X4)),vMC(sK455,sK450)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_4])],[avatar_definition]) ).

tff(f2121,plain,
    ( ! [X2: vQID,X3: vAType,X0: vAnsMap,X1: vQMap,X4: vExp] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vvalue(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vvalue(X2,X3,X4)),vMC(sK455,sK450)) )
    | ~ spl487_4 ),
    inference(avatar_component_clause,[],[f2120]) ).

tff(f2122,plain,
    ( spl487_4
    | spl487_1 ),
    inference(avatar_split_clause,[],[f2078,f2063,f2120]) ).

tff(f2123,plain,
    ( ! [X2: vQMap,X0: vEntry,X1: vAnsMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(X0),X1,X2) )
        | ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X2)),vqsingle(X0),vMC(sK455,sK450))
        | ( vquestion(sK59(X0),sK60(X0),sK61(X0)) = X0 )
        | ( vdefquestion(sK65(X0),sK66(X0),sK67(X0)) = X0 )
        | ( vask(sK68(X0)) = X0 ) )
    | ~ spl487_4 ),
    inference(superposition,[],[f2121,f831]) ).

tff(f2138,definition,
    ( spl487_5
  <=> ! [X2: vQID,X4: vAType,X0: vAnsMap,X3: vLabel,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vquestion(X2,X3,X4)),vMC(sK455,sK450)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_5])],[avatar_definition]) ).

tff(f2139,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vquestion(X2,X3,X4)),vMC(sK455,sK450)) )
    | ~ spl487_5 ),
    inference(avatar_component_clause,[],[f2138]) ).

tff(f2140,plain,
    ( spl487_5
    | spl487_1 ),
    inference(avatar_split_clause,[],[f2077,f2063,f2138]) ).

tff(f2179,definition,
    ( spl487_7
  <=> ! [X2: vQID,X4: vAType,X0: vAnsMap,X3: vLabel,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vdefquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vdefquestion(X2,X3,X4)),vMC(sK455,sK450)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_7])],[avatar_definition]) ).

tff(f2180,plain,
    ( ! [X2: vQID,X3: vLabel,X0: vAnsMap,X1: vQMap,X4: vAType] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vdefquestion(X2,X3,X4)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vdefquestion(X2,X3,X4)),vMC(sK455,sK450)) )
    | ~ spl487_7 ),
    inference(avatar_component_clause,[],[f2179]) ).

tff(f2181,plain,
    ( spl487_7
    | spl487_1 ),
    inference(avatar_split_clause,[],[f2079,f2063,f2179]) ).

tff(f2273,definition,
    ( spl487_11
  <=> ! [X2: vQID,X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vask(X2)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vask(X2)),vMC(sK455,sK450)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_11])],[avatar_definition]) ).

tff(f2274,plain,
    ( ! [X2: vQID,X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(vask(X2)),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(vask(X2)),vMC(sK455,sK450)) )
    | ~ spl487_11 ),
    inference(avatar_component_clause,[],[f2273]) ).

tff(f2275,plain,
    ( spl487_11
    | spl487_1 ),
    inference(avatar_split_clause,[],[f2080,f2063,f2273]) ).

tff(f16488,definition,
    ( spl487_312
  <=> ! [X2: vQMap,X0: vEntry,X1: vAnsMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(X0),X1,X2) )
        | ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X2)),vqsingle(X0),vMC(sK455,sK450))
        | ( vquestion(sK59(X0),sK60(X0),sK61(X0)) = X0 )
        | ( vdefquestion(sK65(X0),sK66(X0),sK67(X0)) = X0 )
        | ( vask(sK68(X0)) = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl487_312])],[avatar_definition]) ).

tff(f16489,plain,
    ( ! [X2: vQMap,X0: vEntry,X1: vAnsMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(X0),X1,X2) )
        | ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X2)),vqsingle(X0),vMC(sK455,sK450))
        | ( vquestion(sK59(X0),sK60(X0),sK61(X0)) = X0 )
        | ( vdefquestion(sK65(X0),sK66(X0),sK67(X0)) = X0 )
        | ( vask(sK68(X0)) = X0 ) )
    | ~ spl487_312 ),
    inference(avatar_component_clause,[],[f16488]) ).

tff(f16490,plain,
    ( spl487_312
    | ~ spl487_4 ),
    inference(avatar_split_clause,[],[f2123,f2120,f16488]) ).

tff(f16523,plain,
    ( ~ vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450))
    | ( sK453 = vquestion(sK59(sK453),sK60(sK453),sK61(sK453)) )
    | ( sK453 = vdefquestion(sK65(sK453),sK66(sK453),sK67(sK453)) )
    | ( sK453 = vask(sK68(sK453)) )
    | ~ spl487_312 ),
    inference(equality_resolution,[],[f16489]) ).

tff(f16524,plain,
    ( ( sK453 = vquestion(sK59(sK453),sK60(sK453),sK61(sK453)) )
    | ( sK453 = vdefquestion(sK65(sK453),sK66(sK453),sK67(sK453)) )
    | ( sK453 = vask(sK68(sK453)) )
    | ~ spl487_2
    | ~ spl487_312 ),
    inference(forward_subsumption_resolution,[],[f16523,f2084]) ).

tff(f16526,definition,
    ( spl487_313
  <=> ( sK453 = vask(sK68(sK453)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_313])],[avatar_definition]) ).

tff(f16528,plain,
    ( ( sK453 = vask(sK68(sK453)) )
    | ~ spl487_313 ),
    inference(avatar_component_clause,[],[f16526]) ).

tff(f16530,definition,
    ( spl487_314
  <=> ( sK453 = vdefquestion(sK65(sK453),sK66(sK453),sK67(sK453)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_314])],[avatar_definition]) ).

tff(f16532,plain,
    ( ( sK453 = vdefquestion(sK65(sK453),sK66(sK453),sK67(sK453)) )
    | ~ spl487_314 ),
    inference(avatar_component_clause,[],[f16530]) ).

tff(f16534,definition,
    ( spl487_315
  <=> ( sK453 = vquestion(sK59(sK453),sK60(sK453),sK61(sK453)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_315])],[avatar_definition]) ).

tff(f16536,plain,
    ( ( sK453 = vquestion(sK59(sK453),sK60(sK453),sK61(sK453)) )
    | ~ spl487_315 ),
    inference(avatar_component_clause,[],[f16534]) ).

tff(f16537,plain,
    ( spl487_313
    | spl487_314
    | spl487_315
    | ~ spl487_2
    | ~ spl487_312 ),
    inference(avatar_split_clause,[],[f16524,f16488,f2082,f16534,f16530,f16526]) ).

tff(f16548,plain,
    ( ! [X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(sK453),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK453),vMC(sK455,sK450)) )
    | ~ spl487_11
    | ~ spl487_313 ),
    inference(superposition,[],[f2274,f16528]) ).

tff(f16568,plain,
    ( ! [X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(sK453),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK453),vMC(sK455,sK450)) )
    | ~ spl487_7
    | ~ spl487_314 ),
    inference(superposition,[],[f2180,f16532]) ).

tff(f16590,plain,
    ( ! [X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(sK453),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK453),vMC(sK455,sK450)) )
    | ~ spl487_5
    | ~ spl487_315 ),
    inference(superposition,[],[f2139,f16536]) ).

tff(f17352,definition,
    ( spl487_319
  <=> ! [X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(sK453),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK453),vMC(sK455,sK450)) ) ),
    introduced(definition,[new_symbols(definition,[spl487_319])],[avatar_definition]) ).

tff(f17353,plain,
    ( ! [X0: vAnsMap,X1: vQMap] :
        ( ( vreduce(vqsingle(sK453),sK456,sK452) != vreduce(vqsingle(sK453),X0,X1) )
        | ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK453),vMC(sK455,sK450)) )
    | ~ spl487_319 ),
    inference(avatar_component_clause,[],[f17352]) ).

tff(f17354,plain,
    ( spl487_319
    | ~ spl487_11
    | ~ spl487_313 ),
    inference(avatar_split_clause,[],[f16548,f16526,f2273,f17352]) ).

tff(f18479,plain,
    ( ~ vptcheck(vMC(vtypeAM(sK456),vtypeQM(sK452)),vqsingle(sK453),vMC(sK455,sK450))
    | ~ spl487_319 ),
    inference(equality_resolution,[],[f17353]) ).

tff(f18480,plain,
    ( $false
    | ~ spl487_2
    | ~ spl487_319 ),
    inference(forward_subsumption_resolution,[],[f18479,f2084]) ).

tff(f18481,plain,
    ( ~ spl487_2
    | ~ spl487_319 ),
    inference(avatar_contradiction_clause,[],[f18480]) ).

tff(f18501,plain,
    ( spl487_319
    | ~ spl487_5
    | ~ spl487_315 ),
    inference(avatar_split_clause,[],[f16590,f16534,f2138,f17352]) ).

tff(f18826,plain,
    ( spl487_319
    | ~ spl487_7
    | ~ spl487_314 ),
    inference(avatar_split_clause,[],[f16568,f16530,f2179,f17352]) ).

cnf(s1,plain,
    ~ spl487_1,
    inference(sat_conversion,[],[f2066]) ).

cnf(s2,plain,
    spl487_2,
    inference(sat_conversion,[],[f2085]) ).

cnf(s4,plain,
    ( spl487_1
    | spl487_4 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s5,plain,
    ( spl487_1
    | spl487_5 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s7,plain,
    ( spl487_1
    | spl487_7 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s10,plain,
    ( spl487_1
    | spl487_11 ),
    inference(sat_conversion,[],[f2275]) ).

cnf(s346,plain,
    ( ~ spl487_4
    | spl487_312 ),
    inference(sat_conversion,[],[f16490]) ).

cnf(s347,plain,
    ( ~ spl487_2
    | ~ spl487_312
    | spl487_313
    | spl487_314
    | spl487_315 ),
    inference(sat_conversion,[],[f16537]) ).

cnf(s357,plain,
    ( ~ spl487_11
    | ~ spl487_313
    | spl487_319 ),
    inference(sat_conversion,[],[f17354]) ).

cnf(s386,plain,
    ( ~ spl487_2
    | ~ spl487_319 ),
    inference(sat_conversion,[],[f18481]) ).

cnf(s387,plain,
    ( ~ spl487_5
    | ~ spl487_315
    | spl487_319 ),
    inference(sat_conversion,[],[f18501]) ).

cnf(s394,plain,
    ( ~ spl487_7
    | ~ spl487_314
    | spl487_319 ),
    inference(sat_conversion,[],[f18826]) ).

cnf(s406,plain,
    ~ spl487_319,
    inference(rat,[],[s386,s2]) ).

cnf(s475,plain,
    spl487_11,
    inference(rat,[],[s10,s1]) ).

cnf(s476,plain,
    spl487_7,
    inference(rat,[],[s7,s1]) ).

cnf(s477,plain,
    spl487_5,
    inference(rat,[],[s5,s1]) ).

cnf(s478,plain,
    spl487_4,
    inference(rat,[],[s4,s1]) ).

cnf(s481,plain,
    ~ spl487_313,
    inference(rat,[],[s357,s406,s475]) ).

cnf(s484,plain,
    ~ spl487_314,
    inference(rat,[],[s394,s406,s476]) ).

cnf(s485,plain,
    ~ spl487_315,
    inference(rat,[],[s387,s406,s477]) ).

cnf(s487,plain,
    spl487_312,
    inference(rat,[],[s346,s478]) ).

cnf(s494,plain,
    $false,
    inference(rat,[],[s347,s485,s484,s2,s481,s487]) ).

tff(f18827,plain,
    $false,
    inference(avatar_sat_refutation,[],[s494]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM259_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  % Computer : n026.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 22:05:57 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running first-order theorem proving
% 0.10/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.82/2.21  % (133560)Detected formulas, will run a generic FOF schedule.
% 10.82/2.21  % (133680)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3173540124:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.82/2.21  % (133676)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2037434613:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.82/2.21  % (133682)dis-21_1_sil=8000:lcm=predicate:random_seed=414414014:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.82/2.21  % (133681)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1094876743:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.82/2.21  % (133678)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2080331369:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.82/2.21  % (133677)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3573608241:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.82/2.21  % (133680)Instruction limit reached! 
% 10.82/2.21  % (133680)------------------------------
% 10.82/2.21  % (133680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.21  % (133680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.21  % (133680)CaDiCaL version: 2.1.3
% 10.82/2.21  % (133680)Termination reason: Instruction limit
% 10.82/2.21  % (133680)Termination phase: Saturation
% 10.82/2.21  % (133680)Time elapsed: 0.042 s
% 10.82/2.21  % (133680)Peak memory usage: 88 MB
% 10.82/2.21  % (133680)Instructions burned: 122 (million)
% 10.82/2.21  % (133679)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2716153290:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.82/2.21  % (133679)Refutation not found, incomplete strategy
% 10.82/2.21  % (133679)------------------------------
% 10.82/2.21  % (133679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.21  % (133679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.21  % (133679)CaDiCaL version: 2.1.3
% 10.82/2.21  % (133679)Termination reason: Refutation not found, incomplete strategy
% 10.82/2.21  % (133679)Time elapsed: 0.004 s
% 10.82/2.21  % (133679)Peak memory usage: 88 MB
% 10.82/2.21  % (133679)Instructions burned: 4 (million)
% 10.82/2.21  % (133682)Instruction limit reached! 
% 10.82/2.21  % (133682)------------------------------
% 10.82/2.21  % (133682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.21  % (133682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.21  % (133682)CaDiCaL version: 2.1.3
% 10.82/2.21  % (133682)Termination reason: Instruction limit
% 10.82/2.21  % (133682)Termination phase: Saturation
% 10.82/2.21  % (133682)Time elapsed: 0.073 s
% 10.82/2.21  % (133682)Peak memory usage: 90 MB
% 10.82/2.21  % (133682)Instructions burned: 129 (million)
% 10.82/2.21  % (133681)Instruction limit reached! 
% 10.82/2.21  % (133681)------------------------------
% 10.82/2.21  % (133681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.21  % (133681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.21  % (133681)CaDiCaL version: 2.1.3
% 10.82/2.21  % (133681)Termination reason: Instruction limit
% 10.82/2.21  % (133681)Termination phase: Saturation
% 10.82/2.21  % (133681)Time elapsed: 0.086 s
% 10.82/2.21  % (133681)Peak memory usage: 90 MB
% 10.82/2.21  % (133681)Instructions burned: 140 (million)
% 10.82/2.21  % (133689)lrs+10_1_sil=8000:sp=occurrence:random_seed=668938808:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.82/2.21  % (133689)Instruction limit reached! 
% 10.82/2.21  % (133689)------------------------------
% 10.82/2.21  % (133689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.21  % (133689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.21  % (133689)CaDiCaL version: 2.1.3
% 10.82/2.21  % (133689)Termination reason: Instruction limit
% 10.82/2.21  % (133689)Termination phase: Saturation
% 10.82/2.21  % (133689)Time elapsed: 0.093 s
% 10.82/2.21  % (133689)Peak memory usage: 91 MB
% 10.82/2.21  % (133689)Instructions burned: 285 (million)
% 10.82/2.21  % (133691)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1216297078:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.93/2.96  % (133692)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3972155012:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.93/2.96  % (133679)------------------------------
% 14.93/2.96  % (133679)------------------------------
% 14.93/2.96  % (133694)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2815397835:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.93/2.96  % (133691)Instruction limit reached! 
% 14.93/2.96  % (133691)------------------------------
% 14.93/2.96  % (133691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.96  % (133691)CaDiCaL version: 2.1.3
% 14.93/2.96  % (133691)Termination reason: Instruction limit
% 14.93/2.96  % (133691)Termination phase: Saturation
% 14.93/2.96  % (133691)Time elapsed: 0.091 s
% 14.93/2.96  % (133691)Peak memory usage: 89 MB
% 14.93/2.96  % (133691)Instructions burned: 158 (million)
% 14.93/2.96  % (133694)Instruction limit reached! 
% 14.93/2.96  % (133694)------------------------------
% 14.93/2.96  % (133694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.96  % (133694)CaDiCaL version: 2.1.3
% 14.93/2.96  % (133694)Termination reason: Instruction limit
% 14.93/2.96  % (133694)Termination phase: Saturation
% 14.93/2.96  % (133694)Time elapsed: 0.086 s
% 14.93/2.96  % (133694)Peak memory usage: 91 MB
% 14.93/2.96  % (133694)Instructions burned: 250 (million)
% 14.93/2.96  % (133697)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2010175704:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.93/2.96  % (133697)Refutation not found, incomplete strategy
% 14.93/2.96  % (133697)------------------------------
% 14.93/2.96  % (133697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.96  % (133697)CaDiCaL version: 2.1.3
% 14.93/2.96  % (133697)Termination reason: Refutation not found, incomplete strategy
% 14.93/2.96  % (133697)Time elapsed: 0.028 s
% 14.93/2.96  % (133697)Peak memory usage: 90 MB
% 14.93/2.96  % (133697)Instructions burned: 47 (million)
% 14.93/2.96  % (133692)Instruction limit reached! 
% 14.93/2.96  % (133692)------------------------------
% 14.93/2.96  % (133692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.96  % (133692)CaDiCaL version: 2.1.3
% 14.93/2.96  % (133692)Termination reason: Instruction limit
% 14.93/2.96  % (133692)Termination phase: Saturation
% 14.93/2.96  % (133692)Time elapsed: 0.209 s
% 14.93/2.96  % (133692)Peak memory usage: 92 MB
% 14.93/2.96  % (133692)Instructions burned: 326 (million)
% 14.93/2.96  % (133699)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3217745541:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.93/2.96  % (133700)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=5491338:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.93/2.96  % (133700)Instruction limit reached! 
% 14.93/2.96  % (133700)------------------------------
% 14.93/2.96  % (133700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.96  % (133700)CaDiCaL version: 2.1.3
% 14.93/2.96  % (133700)Termination reason: Instruction limit
% 14.93/2.96  % (133700)Termination phase: Saturation
% 14.93/2.96  % (133700)Time elapsed: 0.037 s
% 14.93/2.96  % (133700)Peak memory usage: 91 MB
% 14.93/2.96  % (133700)Instructions burned: 114 (million)
% 14.93/2.96  % (133703)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=823542069:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.93/2.96  % (133705)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=928776454:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 14.93/2.96  % (133703)Instruction limit reached! 
% 14.93/2.96  % (133703)------------------------------
% 14.93/2.96  % (133703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.96  % (133703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133703)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133703)Termination reason: Instruction limit
% 21.61/3.76  % (133703)Termination phase: Saturation
% 21.61/3.76  % (133703)Time elapsed: 0.064 s
% 21.61/3.76  % (133703)Peak memory usage: 89 MB
% 21.61/3.76  % (133703)Instructions burned: 127 (million)
% 21.61/3.76  % (133705)Instruction limit reached! 
% 21.61/3.76  % (133705)------------------------------
% 21.61/3.76  % (133705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133705)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133705)Termination reason: Instruction limit
% 21.61/3.76  % (133705)Termination phase: Saturation
% 21.61/3.76  % (133705)Time elapsed: 0.034 s
% 21.61/3.76  % (133705)Peak memory usage: 88 MB
% 21.61/3.76  % (133705)Instructions burned: 115 (million)
% 21.61/3.76  % (133697)------------------------------
% 21.61/3.76  % (133697)------------------------------
% 21.61/3.76  % (133709)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2457787530:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 21.61/3.76  % (133708)lrs+10_1_sil=8000:sp=occurrence:random_seed=769120495:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 21.61/3.76  % (133710)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=208691121:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 21.61/3.76  % (133709)Instruction limit reached! 
% 21.61/3.76  % (133709)------------------------------
% 21.61/3.76  % (133709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133709)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133709)Termination reason: Instruction limit
% 21.61/3.76  % (133709)Termination phase: Saturation
% 21.61/3.76  % (133709)Time elapsed: 0.114 s
% 21.61/3.76  % (133709)Peak memory usage: 92 MB
% 21.61/3.76  % (133709)Instructions burned: 437 (million)
% 21.61/3.76  % (133714)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1850056516:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 21.61/3.76  % (133714)Instruction limit reached! 
% 21.61/3.76  % (133714)------------------------------
% 21.61/3.76  % (133714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133714)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133714)Termination reason: Instruction limit
% 21.61/3.76  % (133714)Termination phase: Saturation
% 21.61/3.76  % (133714)Time elapsed: 0.034 s
% 21.61/3.76  % (133714)Peak memory usage: 90 MB
% 21.61/3.76  % (133714)Instructions burned: 137 (million)
% 21.61/3.76  % (133716)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1725009061:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 21.61/3.76  % (133716)Refutation not found, incomplete strategy
% 21.61/3.76  % (133716)------------------------------
% 21.61/3.76  % (133716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133716)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133716)Termination reason: Refutation not found, incomplete strategy
% 21.61/3.76  % (133716)Time elapsed: 0.016 s
% 21.61/3.76  % (133716)Peak memory usage: 90 MB
% 21.61/3.76  % (133716)Instructions burned: 58 (million)
% 21.61/3.76  % (133708)Instruction limit reached! 
% 21.61/3.76  % (133708)------------------------------
% 21.61/3.76  % (133708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133708)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133708)Termination reason: Instruction limit
% 21.61/3.76  % (133708)Termination phase: Saturation
% 21.61/3.76  % (133708)Time elapsed: 0.479 s
% 21.61/3.76  % (133708)Peak memory usage: 93 MB
% 21.61/3.76  % (133708)Instructions burned: 908 (million)
% 21.61/3.76  % (133716)------------------------------
% 21.61/3.76  % (133716)------------------------------
% 21.61/3.76  % (133719)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3441051587:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 21.61/3.76  % (133718)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=702267312:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 21.61/3.76  % (133719)Instruction limit reached! 
% 21.61/3.76  % (133719)------------------------------
% 21.61/3.76  % (133719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133719)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133719)Termination reason: Instruction limit
% 21.61/3.76  % (133719)Termination phase: Saturation
% 21.61/3.76  % (133719)Time elapsed: 0.043 s
% 21.61/3.76  % (133719)Peak memory usage: 91 MB
% 21.61/3.76  % (133719)Instructions burned: 127 (million)
% 21.61/3.76  % (133722)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=610048447:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 21.61/3.76  % (133722)Instruction limit reached! 
% 21.61/3.76  % (133722)------------------------------
% 21.61/3.76  % (133722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133722)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133722)Termination reason: Instruction limit
% 21.61/3.76  % (133722)Termination phase: Saturation
% 21.61/3.76  % (133722)Time elapsed: 0.038 s
% 21.61/3.76  % (133722)Peak memory usage: 91 MB
% 21.61/3.76  % (133722)Instructions burned: 135 (million)
% 21.61/3.76  % (133724)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=327660990:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 21.61/3.76  % (133724)Refutation not found, incomplete strategy
% 21.61/3.76  % (133724)------------------------------
% 21.61/3.76  % (133724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133724)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133724)Termination reason: Refutation not found, incomplete strategy
% 21.61/3.76  % (133724)Time elapsed: 0.002 s
% 21.61/3.76  % (133724)Peak memory usage: 88 MB
% 21.61/3.76  % (133724)Instructions burned: 3 (million)
% 21.61/3.76  % (133724)------------------------------
% 21.61/3.76  % (133724)------------------------------
% 21.61/3.76  % (133726)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4082618737:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 21.61/3.76  % (133699)Instruction limit reached! 
% 21.61/3.76  % (133699)------------------------------
% 21.61/3.76  % (133699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133699)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133699)Termination reason: Instruction limit
% 21.61/3.76  % (133699)Termination phase: Saturation
% 21.61/3.76  % (133699)Time elapsed: 1.447 s
% 21.61/3.76  % (133699)Peak memory usage: 144 MB
% 21.61/3.76  % (133699)Instructions burned: 2353 (million)
% 21.61/3.76  % (133726)Instruction limit reached! 
% 21.61/3.76  % (133726)------------------------------
% 21.61/3.76  % (133726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133726)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133726)Termination reason: Instruction limit
% 21.61/3.76  % (133726)Termination phase: Saturation
% 21.61/3.76  % (133726)Time elapsed: 0.119 s
% 21.61/3.76  % (133726)Peak memory usage: 91 MB
% 21.61/3.76  % (133726)Instructions burned: 431 (million)
% 21.61/3.76  % (133728)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1737673327:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 21.61/3.76  % (133729)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3466374653:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 21.61/3.76  % (133729)Instruction limit reached! 
% 21.61/3.76  % (133729)------------------------------
% 21.61/3.76  % (133729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.76  % (133729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.76  % (133729)CaDiCaL version: 2.1.3
% 21.61/3.76  % (133729)Termination reason: Instruction limit
% 21.61/3.76  % (133729)Termination phase: Saturation
% 21.61/3.76  % (133729)Time elapsed: 0.054 s
% 21.61/3.76  % (133729)Peak memory usage: 91 MB
% 21.61/3.76  % (133729)Instructions burned: 152 (million)
% 21.61/3.76  % (133732)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1157898910:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 21.61/3.76  % (133678)First to succeed.
% 21.61/3.76  % (133678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-133560"
% 21.61/3.76  % (133678)Refutation found. Thanks to Tanya!
% 21.61/3.76  % SZS status Theorem for theBenchmark
% 21.61/3.76  % SZS output start Proof for theBenchmark
% See solution above
% 22.16/3.86  % (133678)------------------------------
% 22.16/3.86  % (133678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.16/3.86  % (133678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.86  % (133678)CaDiCaL version: 2.1.3
% 22.16/3.86  % (133678)Termination reason: Refutation
% 22.16/3.86  % (133678)Time elapsed: 2.644 s
% 22.16/3.86  % (133678)Peak memory usage: 159 MB
% 22.16/3.86  % (133678)Instructions burned: 4222 (million)
% 22.16/3.86  % (133678)------------------------------
% 22.16/3.86  % (133678)------------------------------
% 22.16/3.86  % (133560)Success in time 3.08 s
% 22.16/3.86  % Vampire exiting
%------------------------------------------------------------------------------